Answered

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Which of the following is equivalent to x^2-100/2x+20 for all values of x, where x not equal to -10

Which Of The Following Is Equivalent To X21002x20 For All Values Of X Where X Not Equal To 10 class=

Sagot :

The given expression is:

[tex]\frac{x^2-100}{2x+20}[/tex]

To simply the expression above, we are going to apply the difference of two squares rule for the numerator and we find the common factor for the denominator.

Thus, we have:

[tex]\begin{gathered} \frac{x^2-100}{2x+20} \\ \Rightarrow\frac{(x-10)(x+10)}{2(x+10)} \end{gathered}[/tex]

(x+10) is common to both the numerator and the denominator and as such, they will cancel out each other.

Thus, we have:

[tex]\begin{gathered} \frac{(x-10)(x+10)}{2(x+10)} \\ \Rightarrow\frac{x-10}{2} \end{gathered}[/tex]

Hence, the correct option is option A

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